Charge representation of a small two-dimensional Josephson-junction array in the quantum regime

P. Lafarge; M. Matters; J. E. Mooij

doi:10.1103/PhysRevB.54.7380

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Charge representation of a small two-dimensional Josephson-junction array in the quantum regime

P. Lafarge, M. Matters, J. E. Mooij

DOI 10.1103/PhysRevB.54.7380 · Physical Review B

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Abstract

Using the charge representation, we calculate the ground state energy and the critical current of a small two-dimensional Josephson junction array subject to both charge and magnetic frustration. In the quantum regime the ground state of the array is a superposition of charge states, allowing a supercurrent to flow through the circuit. Both the ground state energy and the critical current can be tuned by the two frustrations. We show that the notion of a vortex is compatible with a charge representation of the array. © 1996 The American Physical Society.